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Finding the Third Proportional to 229,194 and 503,568

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Solution

The third proportional to 229,194 and 503,568 is: 1,106,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,194 : 503,568 = 503,568 : x
  2. Step 2: Convert to fraction form
    229,194/503,568 = 503,568/x
  3. Step 3: Cross multiply
    229,194x = 503,568 × 503,568
  4. Step 4: Simplify right side
    229,194x = 253,580,730,624
  5. Step 5: Solve for x
    x = 253,580,730,624/229,194
  6. Step 6: Final answer
    x = 1,106,402.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.